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Simplifying 4k + -83 = 187 + -2k Reorder the terms: -83 + 4k = 187 + -2k Solving -83 + 4k = 187 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -83 + 4k + 2k = 187 + -2k + 2k Combine like terms: 4k + 2k = 6k -83 + 6k = 187 + -2k + 2k Combine like terms: -2k + 2k = 0 -83 + 6k = 187 + 0 -83 + 6k = 187 Add '83' to each side of the equation. -83 + 83 + 6k = 187 + 83 Combine like terms: -83 + 83 = 0 0 + 6k = 187 + 83 6k = 187 + 83 Combine like terms: 187 + 83 = 270 6k = 270 Divide each side by '6'. k = 45 Simplifying k = 45
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